Answer:
The correct option is a. 65 to 89.
Step-by-step explanation:
According to the Empirical Rule in a normal distribution with mean µ and standard-deviation σ, nearly all the data will fall within 3 standard deviations of the mean. The empirical rule can be broken into three parts:
• 68% data falls within 1 standard deviation of the mean. That is P (µ-σ≤X≤ µ+σ) = 0.68.
• 95% data falls within 2 standard deviations of the mean. That is P (µ-2σ≤X≤ µ+2σ) = 0.95.
• 99.7% data falls within 3 standard deviations of the mean. That is P (µ-3σ≤X≤ µ+3σ) = 0.997.
The information provided is:
[tex]\mu=77\\\sigma = 6[/tex]
Use the Empirical rule to compute the middle 95% of the distribution as follows:
[tex]P(\mu-2\sigma\leq X\leq \mu+2\sigma)=0.95\\\\\mu-2\sigma=77-(2\times 6)=65\\\\\mu+2\sigma=77+(2\times 6)=89\\\\\Rightarrow P(65\leq X\leq 89)=0.95[/tex]
Thus, the correct option is a. 65 to 89.
four housemates divided 2/3 of a choclate pie equally. how much does each receive?
Answer:
1/6Step-by-step explanation:
2/3 divided by 4
2/3 ÷ 4 = 2/3 × 1/4 = 1/3 × 1/2 = 1/6Each gets 1/6 of a pie
For two binomial random variables, one with p = 0.3 and the other with p = 0.7, which one would have the higher value at the 50th percentile of the associated distribution?
a. 0.7
b. 0.3
c. Need More Information
d. Neither, the Values Would be Equal
Answer:
d
Step-by-step explanation:
To use the binomial distribution, we need p and 1 - p
and so, since 1-0.3 is same as 0.7
for the 50th percentile, we have that the values of the two are equal
The 50th percentile in this case is that probably, we are selecting 50 out of a total of 100
Please help I’m stuck on this question
Answer:
C is the answer
Step-by-step explanation:
Hope you have a great day
Sterling makes trail mix by mixing 2 parts peanuts with 3 parts chocolate candy. Sterling has an unlimited supply of peanuts in the pantry, but only 18 cups of chocolate candy. How many cups of trail mix can he make?
Answer:
The answer is 5.
Since he has 3 part chocolate all he has 18 cups left. You can keep adding 3 till you get 18 and how many ever groups you have with 3 (which is 5 groups) is the answer.
If
I
- 9 = 12, what is the value of k?
O A. 1
O B. 7
O C. 9
O D. 63
What equation could be written for this table?
9514 1404 393
Answer:
your answer choice is correct
Step-by-step explanation:
The point (0, 3) tells you the y-intercept is 3, eliminating the 2nd and 4th choices.
The table value 3 1/2 for x=1 tells you the slope is 1/2, eliminating the 3rd choice. (y differs by 1/2 when x differs by 1)
The 1st choice is the one that works.
What is the equation, in point-slope form, for a line that goes through(8, −4) and has a slope of −5/6?
A: y+4=−5/6(x+8)
B: y+4=−5/6(x−8)
C: y−4=−5/6(x+8)
D: y−4=−5/6(x−8)
A) Y+4=-5/6(x-8)
The point slope formula is: y-y1=m(x-x1)
A square country is 12 miles long on one side. What is the area of the
country?
Answer:
It is 12
Step-by-step explanation:
because it is simple math
Ms. Carey wrote the equation: 3x-7-2/3 (9x-6) = 15 on the board. What is the solution to the equation? Show your work.
Answer:
x=−6
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3x−7-2/3(9x−6)=15
3x+−7+−6x+4=15(Distribute)
(3x+−6x)+(−7+4)=15(Combine Like Terms)
−3x+−3=15
−3x−3=15
Step 2: Add 3 to both sides.
−3x−3+3=15+3
−3x=18
Step 3: Divide both sides by -3.
−3x/−3=18/−3
x=−6
They pay $4 to enter the patch and $3 per pound for the pumpkins they pick. Write an equation to model the total cost, y, for x pounds of pumpkins.
Answer:
y=3x+4
Step-by-step explanation:
A bucket holds 10 liters of water. If a ladle can scoop out 1/2 of a liter, how many scoops will it take to empty the bucket?
Answer:
20 scoops
Step-by-step explanation:
To find how many scoops it will take, divide 10 by 1/2
10/0.5
= 20
So, it will take 20 scoops to empty the bucket
Answer:
It would take 20 scoops
Step-by-step explanation:
All you have to do is divide 10 by 1/2.
10/1 divided by 1/2
Then you have to flip the 1/2
10/1 divided by 2/1
then switch the division to multiplication
10/1 multiplied by 2/1
10 times 2 is 20.
there's your answer.
Sarah used 2.5 cups of cheese in a dish that serves 10 people. Amyn used 1.6 cups of cheese in a dish that serves 8 people.
How much more cheese is in one serving of Sarah’s dish?
a.0.5 cup
b. 0.25 cup
c. 0.2 cup
d. 0.05 cup
Ben dove to a depth of 500 feet. Sabrina dove to a depth of 250 feet. Which diver is at the higher elevation?
Answer:
Sabrina is at a higher elevation.
Step-by-step explanation:
She has dropped less than Ben, so she is higher up.
on monday, elliot road 6 miles on a bike. on tuesday he rode 6 miles on wednesday he rode 3 times farther than he did monday and tuesday combined. how many miles has Elliot ridden so far this week
Answer:
48
Step-by-step explanation:
Because 6 plus 6 is 12 and if he rode 3 times how much he rode on those days it would be 12 times 3 which is 36 than it's 36 plus 12 to get 48
Answer:
48 miles
Step-by-step explanation:
on wednesday elliot rode 3 times farther than he did monday and tuesday
so you add monday and tuesday together then multiply it by 3 and add that by 12
[tex]6+6=12\\ \\12*3=36\\\\ 36+12=48[/tex]
What is the name of a three-sided polygon?
Answer:
A three-sided polygon is a triangle.
Line that passes (4,2) & (0,6)
Answer:
y=-x+6
Step-by-step explanation:
Miguel has $20 to spend on going to a movie. If he spends $7.25 on a move ticket, $3.95 for snacks, and $1.75 for bus fare, how much money will he have left?
Answer:
Miguel would have $7.05 dollars left
Step-by-step explanation:
take all the number and subtract them
$20 - $7.25 - 3.95 - 1.75= $7.05
It took 3 people 4 hours to build a raft. How long would it take 6 people to build the same raft?
Answer:
2 hours
Step-by-step explanation:
divide 4 by 2 to get 2. Do this becasue 3 is 6 divided by 2.
can someone please answer this
Answer:
The answer us B y= -8/7x -18/7
Find the value of x.
Answer:
60
Step-by-step explanation:
I forgot how to explain because I forgot how to but just trust fam lol sorry I don't say fam
Appease answer ill do anything please
Answer:
y=50x
Step-by-step explanation:
distance = 50 times the laps
100= 50 x 2
200 = 50 x 4
250= 50 x 5
400 = 50 x 8
Answer:
y=x+50
Step-by-step explanation:
could someone please help me with this?
Answer:
We know that the interior angles of any triangle equal 180. Therefore in the left triangle, C must equal 53 in order for the interior angles to equal 180° (65+62+53)
Since these triangles are equal they are congruent. Congruent triangles share the same angles. Therefore C is equal to G. If c is 53 then m<G is also 53. x=53
Additionally, the side lengths of congruent triangles are equal. Therefore 11 is equal to x-y
x is 53 so 53-y=11
-y=-42
y=42
x=53
Step-by-step explanation:
PLEASE HELP HEHE!!!
Two cards are chosen at random from a deck of cards. What is the probability of selecting a face card followed by an ace without replacement? Round answer to nearest tenth and include percent sign.
Answer:
4/663
Step-by-step explanation:
Rewrite the following statement as an equation.
The sum of a number squared and three less than twice the number is 129.
Which expression results in a rational number?
4
the fourth expression is a rational
The expression results in a Rational number is √2.√18 .
What is rational number?A rational number is "a real number which is in the form of p/q, where q ≠ 0.The decimal expansion of any rational number is terminating or repeating".
What is irrational number?A irrational number is "a real number which is not in the form of p/q, where q ≠ 0.The decimal expansion is non-terminating and non-repeating at any point".
According to the question,
1) √2.√18
=√2.√(9.2)
= √2.3.√2
= 3.2
= 6.
Hence, √2.√18 satisfy the given definition of rational number. The expression √2.√18 is a rational number.
2) √2 + √2 = 2√2 = 2.82842712..... The expression√2 +√2 has decimal expansion which is non-terminating and non-repeating at any point then it is irrational number. hence, √2 + √2 is not a rational number.
5.√5 = 11.1803399.... The expression5√2 has decimal expansion which is non-terminating and non-repeating at any point then it is irrational number. hence, 5√2 is not a rational number.
3√2 + 2√3=7.87831518.... The expression3√2 +2√3 has decimal expansion which is non-terminating and non-repeating at any point then it is irrational number. hence, 3√2+2√3 is not a rational number.
Learn more about Rational number here
https://brainly.com/question/9813637
#SPJ2
If 16 = x, then x2=
8
16
4
Answer:
32?
Step-by-step explanation:
16×2=32
not sure what the numbers after that means but
x8=128
x16=256
x4=64
BRAINLIEST! Solar energy is considered by many to be the energy of the future. A recent survey was taken to compare the cost of solar energy to the cost of gas or electric energy. Results of the survey revealed that the distribution of the amount of the monthly utility bill of a 3- bedroom house using gas or electric energy had a mean of $99 and a standard deviation of $9. If the distribution can be considered bell shaped, what percentage of homes will have a monthly utility bill of more than $90?
A. approximately 95%
B. approximately 16%
C. approximately 84%
D. approximately 32%
Kendra sold 200 shares through her broker in June 8. The price per share was $22.10. The broker charged her a 0.5% commission on the total value. What was Kendra’s return on the trade?
Answer:
A. $4397.9
Step-by-step explanation:
We are given that Kendra sold 200 shares and that the price per share was $22.1
This means that:
Total value = 200 * 22.1 = $4420
Now, we know that the broker charged 0.5% commission on the total value
This means that:
Broker's charge = 0.5% * 4420 = 0.005 * 4420 = $22.1
Therefore,
Kendra's return = Total value - broker's charge
Kendra's return = 4420 - 22.1 = $4397.9
Hope this helps :)
What is the image of the point (-2,3) after a rotation of 90° counterclockwise about the origin?
Answer:
use the equation (x,y)---->(-y,x)
(-2,3)----> (3,-2)
The image of the point (-2,3) after a rotation of 90° counterclockwise about the origin will be (3, 2).
What is a transformation of a point?A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.
The point (-2, 3) is in the second quadrant. After a rotation of 90° counterclockwise about the origin, the point will be in the first quadrant.
After the rotation, the coordinate of the points will get swapped and in the first quadrant, the value of the coordinate will be positive.
The image of the point (-2,3) after a rotation of 90° counterclockwise about the origin will be (3, 2).
More about the transformation of a point link is given below.
https://brainly.com/question/27224339
#SPJ5
4/3 > 100/34 or is it 4/3 < 100/34
Answer:
its 4/3<100/34
Step-by-step explanation:
4/3 is 1 1/3 and 100/34 is like 2 and 28/32or something but 1<2 so 100/34 is greater hope this helps plz mark brainliest